The generator matrix

 1  0  0  0  0  0  1  1  1  1  1  0  X  1  1  0  X  1  0  X  0  1  X  1  X  1  1  1  1  0  0  1  X  0  1  1  1  1  X  1  X  1  0  1  1  0  0  1  X  X  1  X  X  X  1  0  X  0  0  X  X  1  1  X  1  1  X  X  1  1  X  X  X  X  1  X  1  0  0  1
 0  1  0  0  0  0  X  X  1  X  1  1  X X+1 X+1  1  1 X+1  1  X  1  X  X  X  X  1  0  1  X  1  1  X  0  X X+1  1  X  1  1  0  1  0  0  0 X+1  1  0  0  1  1  1  0  1  1  0  X  0  X  0  1  X  1  1  0  1  0  X  1 X+1  1  1  0  0  X  0  X X+1  1  1  X
 0  0  1  0  0  0  0  0  0  0  0  X  X  X  X  X  0 X+1  1  1 X+1  1  1  1  1  1 X+1 X+1 X+1  1  1 X+1  1  0 X+1  1 X+1  0  1  0  X  X  1  1 X+1  1  1  X  X  0  0  0  1 X+1 X+1  1  1  0  X  1  1  1  X  1  X  X  X  0 X+1  0 X+1  1  1  0  1  1 X+1 X+1  0  1
 0  0  0  1  0  0  0  0  0  X  X  X  X  0  0  0  0  X  X  0  0  X  0  X  X  0  X  0  0  X  0  X X+1  1 X+1 X+1 X+1 X+1  1  1  1  1 X+1 X+1  1 X+1  1  0 X+1 X+1 X+1  1  1  X X+1  1 X+1  X  1  1  1  X  1  0  X X+1  1  1 X+1  1 X+1  X  1  X  X  0  X  1  1  1
 0  0  0  0  1  0  0 X+1  X X+1  1 X+1  1  X  1  0 X+1  1  1  X  1  0 X+1  X  1  X  1  1 X+1  0  0  X  0 X+1 X+1  0  0  1  1  1 X+1  0 X+1  X  1  1  X X+1 X+1 X+1 X+1  X  0  X X+1  0  1  1 X+1 X+1  0 X+1  X X+1  X  1  X  0  0  1 X+1  0 X+1  1  0  0  X X+1  1 X+1
 0  0  0  0  0  1  1 X+1  1  0  1  0  1  0  X  1  1  1 X+1 X+1  X  1  0  X X+1  X X+1  0  X  1  X  0 X+1  1  0  X X+1  X  1  X  0 X+1 X+1  0 X+1  0  X  X  1  0  1 X+1 X+1  X X+1 X+1  1  X  1 X+1  X  X  X  1  1  X  X  0  X X+1  X  0  0  1  1 X+1  1 X+1 X+1  X

generates a code of length 80 over Z2[X]/(X^2) who´s minimum homogenous weight is 70.

Homogenous weight enumerator: w(x)=1x^0+170x^70+381x^72+474x^74+481x^76+470x^78+439x^80+420x^82+326x^84+262x^86+275x^88+188x^90+129x^92+58x^94+16x^96+4x^98+2x^106

The gray image is a linear code over GF(2) with n=160, k=12 and d=70.
This code was found by Heurico 1.16 in 2.98 seconds.